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Semiotica

Journal of the International Association for Semiotic Studies / Revue de l'Association Internationale de Sémiotique

Editor-in-Chief: Danesi, Marcel

5 Issues per year

ERIH category 2011: INT2

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The dimensionality of notation

Humphrey van Polanen Petel

Citation Information: Semiotica. Volume 2005, Issue 157, Pages 187–197, ISSN (Online) 1613-3692, ISSN (Print) 0037-1998, DOI: 10.1515/semi.2005.2005.157.1-4.187, October 2005

Publication History

Published Online:
2005-10-13

Abstract

Elements of notation are variables and sentences are sequences of different variables. Both listening and reading are processes, which makes a sentence a stream of variations of a single variable. Thus, a simple sentence is a one-dimensional object, measured along the stream of variation. A sentence with coordinated or subordinated material effectively encodes multiple streams which makes a complex sentence a two-dimensional object with that second dimension measured across the multiple streams. A single symbol does not vary and is therefore a zero-dimensional object. Processes exist in time and the dimensions of notation are therefore abstract dimensions.

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